Finding the Fourth Proportional to 1,602.67, 2,404.50 and 780.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,602.67 : 2,404.50 = 780.83 : x
2. Step 2: Convert to fraction form
   1,602.67/2,404.50 = 780.83/x
3. Step 3: Cross multiply
   1,602.67x = 2,404.50 × 780.83
4. Step 4: Simplify right side
   1,602.67x = 1,877,490.78
5. Step 5: Solve for x
   x = 1,877,490.78/1,602.67
6. Step 6: Final answer
   x = 1,171.48